Nuprl Lemma : geo-congruent-refl
∀e:EuclideanPlane. ∀[a,b:Point]. ab ≅ ab
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
geo-congruent: ab ≅ cd,
geo-point: Point,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
euclidean-plane: EuclideanPlane,
implies: P ⇒ Q,
sq_stable: SqStable(P),
squash: ↓T,
and: P ∧ Q,
geo-congruent: ab ≅ cd,
not: ¬A,
false: False,
subtype_rel: A ⊆r B,
guard: {T},
uimplies: b supposing a
Latex:
\mforall{}e:EuclideanPlane. \mforall{}[a,b:Point]. ab \mcong{} ab
Date html generated:
2020_05_20-AM-09_45_19
Last ObjectModification:
2019_11_13-AM-10_45_58
Theory : euclidean!plane!geometry
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